Differential Geometry Working Seminar

Christopher Lang, Department of Pure Mathematics, University of Waterloo

"The Spectral Curve of a SU(2) Monopole (Part 2): Identifying Subbundles"

We will be following Hitchin's 1982 paper, Monopoles and Geodesics, continuing from the last talk. This time, we find two holomorphic subbundles of the holomorphic vector bundle from the previous talk and identify them. Time permitting, we will define the spectral curve and discuss its properties.